Basic Engineering Mathematics, Third Edition by John Bird

By John Bird

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01011 2 47 Remainder 4. 3 Conversion of denary to binary An integer denary number can be converted to a corresponding binary number by repeatedly dividing by 2 and noting the remainder at each stage, as shown below for 3910 2 39 Remainder 2 19 1 2 9 1 2 4 1 2 2 0 2 1 0 0 1 1 0 1 1 1 1 Thus 4710 = 1011112 Problem 5. 4062510 to a binary number. 40625 × 2 D 0. 8125 × 2 D 1. 625 (most significant bit)→ 1 0 0 1 1 1 ←(least significant bit) The result is obtained by writing the top digit of the remainder as the least significant bit, (a bit is a binary digit and the least significant bit is the one on the right).

370922 . . 37, correct to 4 significant figures. Problem 10. 792 2 2 Problem 9. 37360084 . . 45 to 3 decimal places. 01896453 . . 73 places. 62 p (a) 2 (b) Problem 6. 785171 . . 0526 decimal places. 19448653 . . 76 places. 5374, correct to 4 2 decimal places. 478 U 102 , correct to 4 significant figures. 130 U 103 , correct to 4 significant figures. 086, correct to 3 decimal places. 63832491 . . 638, correct to 3 decimal places. 636201 . . 636, correct to 3 decimal places. Calculations and evaluation of formulae 23 Problem 11.

2 6. Find the distance s, given that s D 12 gt2 . 81 m/s2 . 21. Distance s metres is given by the formula s D ut C 12 at2 . 50, evaluate the distance. 28 Basic Engineering Mathematics 22. The area, A, of any triangle is given by p aCbCc A D [s s a s b s c ] where s D . 20 cm. 23. 650, evaluate v given that vD d e ab c 3. 7 not, what should it be? (a) (b) 27 1/3 (e) 23 ð 16 2 8ð2 3 2 3 2 2 3 (c) 2 9 2 p 1 42 1 2 correct? 98 (7) 7. 6 km D 1 mile, determine the speed of 45 miles/hour in kilometres per hour.

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